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Practice Exams ChE 26
1.Iftherootsoftheequationarezero,thentheyareclassifiedasa.conditionalsolutionb.extraneousrootsc.hypergolicsolutiond.trivialsolutione.noneoftheabove
2.Thesumoftheinterioranglesofapolygonis2700degrees.Howmanysidesarethere?a.15b.16c.17d.18e.noneoftheabove
3.Thevolumeofasphereisincreasingattherateof6cm^3/hr.Atwhatrateisitssurfaceareaincreasingwhenradiusis40cm?a.0.4sqcm/hrb.0.3sqcm/hrc.0.2sqcm/hrd.0.9sqcm/hr
4.WhathorizontalforcePcanbeappliedtoa100kgblockinalevelsurface
with a coefficient of friction of 0.20 that will cause
anaccelerationof2.5m/s^2?a.446.2Nb.224.5Nc.53.8Nd.343.5N
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e.noneoftheabove
5.Anobjectfallsfromaheightof92mandstrikesthegroundwithaspeedof19m/s.Whatistheacceleration?a.1.96m/s^2b.9.81m/s^2c.x+y=3d.3x+4y=3e.2y33x=11
6.Acableweighing60N, is suspendedbetween2supportson
thesamelevelat300mapart.Thesagis60.0m.Computethedistanceofthelowestpointofthecablefromthegroundlevel.a.188.2mb.196.8mc.205.5md.200.5me.noneoftheabove
7.Thevolumeofanysolidof revolution isequal to
thegeneratingareatimesthecircumferenceofthecircledescribedbythecentroidofthearea.Thisisknownasa.1stPropositionofPappusb.2ndPropositionofPappusc.Simpsonsruled.Cavaliersprinciple
8.Thecurverepresentedbytheequationr=6isa.acircleb.parabolac.ellipsed.linee.noneoftheabove
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Practice Exams ChE 25
1.ThecostofaproductisafunctionofthequantityxoftheproductisgivenbytherelationC(x)=x^240000x+50.Findthequantityforwhichthecostisminimum.a.1000b.2000c.15000d.3000e.noneoftheabove
2.Whenall oddnumbers from 1 to 101 is added,whatwill be
thesum?a.2500b.2601c.2510d.5601e.noneoftheabove
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3.Ify=x/2+[sin(2x)]/4findxforwhichdy/dx=0.a.Pi/4b.Pi/2c.Pi/3d.Pi/6e.Pi/12
4.Whichofthefollowingisnotfactorable?a.2m^2+mn+3n^2b.x^2x+12c.s^121d.t^2+25e.noneoftheabove
5.Atankcontains100galwater.Asaltsolutioncontaining2lbsaltpergalflowsinatarateof3gpmandwellstirredtankflowsoutatthesamerate.Theconcentrationofthesolutioninsidethetankafter1hrisa.11lb/galb.1.18lb/galc.1.18lbd.1.8lb/gale.noneoftheabove
6.75studentswenttoSMWestwheretheycouldwatch3films(A,B,&C).20ofthemwatchedall3films.55ofthemwatchedatleast2films.BecauseitwasQCday,eachfilmcostonlyP5.00perhead.Ifthe
total receipt was P700, howmany students did not watch
anymovie?a.9b.11c.10d.12e.noneoftheabove
7.Whatisthevalueofxforwhichy=2x^33x^236x+25willhaveaninflectionpoint?a.1/3b.c.d.1/5e.2/3
8.Asteelrodisstretchedbetween2rigidwallsandcarriesatensileloadof5000Nat20degC.WhatTwillthestressbezero?Thecrosssectionalareais150mm2.a.34.2degCb.45.5degCc.30.0degCd.42.9degCe.noneoftheabove
9.Thelocusofapointthatmovesothatitsdistancefromfixedpointandfixedlineisalwaysequalisknownas:a.parabolab.hyperbolac.ellipsed.circle
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10. The area of a triangle are formed by points A(4,3),
B(7,4),C(3,6)isa.28squnitsb.38squnitsc.48squnitsd.58squnitse.noneoftheabove
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Practice Exams ChE 24
1.AseriesofequalquarterlyreceiptsofP1000extendsoveraperiodof5yrs.Whatisthepresentworthofthisquarterlypaymentseriesati=8%,compoundedcontinuously?a.16,351b.15,971c.6,320d.15,345e.noneoftheabove
2.Linesdrawnfromthefocustoanypointofanellipsearecalledthefocalradiioftheellipse.Findtheequationofthefocalradiidrawntothepoint(2,3)onetheellipse3x^2+4y^2=48.a.3x4y=6b.x4y=8c.44y=10d.3x3x=3e.3x4y=6
3.IsthegraphicalvisualizationofthemomentequationplottedonMxaxisa.Maxwelldiagramb.Forcebodydiagramc.Sheardiagramd.Momentdiagrame.noneoftheabove
4.AhousewifeboughtabrandnewwashingmachinecostingP12,000ifpaidincash.However,shecanpurchaseitoninstallmentbasistobepaidwithin5years.Ifmoneyisworth8%compoundedannually,whatisheryearlyamortizationifallpaymentaretobemadeatthebeginningofeachyear?a.2782.55b.2400.00c.2872.58d.2827.55e.noneoftheabove
5.Thecurverepresentedbytheequationr=6isa.acircleb.parabolac.ellipsed.line
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e.noneoftheabove
6.Ifthe1stand4thtermsofaharmonicprogressionare1/3and1/9,respectively,findthe8thterm.a.1/17b.1/11c.1/14d.1/13e.1/19
7.A0.3kgmassattachedtoa1.5mlongstringiswhirledaroundahorizontal
circle at a speed of 6 m/s. Considering a
centripetalacceleration,whatisthetensioninthestring?a.7.2Nb.720Nc.24Nd.240Ne.noneoftheabove
8.Toraisemoneyforyourbusiness,youneedtoborrowP20,000fromalocalbank.Ifthebankasksyoutorepaytheloanin5equalannualinstallmentsofP5548.19,determinethebanksannualinterestrateonthisloantransaction.a.11%b.12%c.4.5%d.27.74%e.noneoftheabove
9.Acastironcolumnsupportsanaxialcompressiveloadof250kN.Determinetheinsidediameterofthecolumnifitsoutsidediameteris200mmandthelimitingcompressivestressis50Mpa.a.150mmb.183.4mmc.253.34mmd.143.2mme.noneoftheabove
10. Super Ferry allowed A kg of baggage for free with
additionalchargeforbaggageinexcessofthelimit.Thecombinedweightofthebaggages
of passengers on one particular trip was 105 kg. Onepassenger paid
P100 extra while the other paid P150 extra. A
3rdpassengerinthesametriphas105kgbaggageandwaschargedP650extra.FindAinkg.a.40b.60c.50d.70e.noneoftheabove
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Practice Exams ChE 23
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1.Whatistheareaofarhombuswhosediagonalsare10cmand16cmrespectively?a.160sqcmb.80sqcmc.100sqcmd.120sqcme.noneoftheabove
2.Intwoyears,ArawillbeasoldasRicoisnow.In26years,RicowillbetwiceasoldasAraisnow.HowoldisAranow?a.27b.28c.29d.30e.40
3.(x^2+3y)dxxdy=0isa.linearinxb.nonlinearinyc.linearinyd.variableseparablee.noneoftheabove
4.Asequenceofnumberswhereeverytermisobtainedbyaddingalltheprecedingtermssuchas1,5,14and30iscalleda.Triangularnumberb.Eulersnumberc.Pyramidalnumberd.Tetrahedralnumbere.noneoftheabove
5.Itiscausedbyforcesactingalongorparalleltothearearesistingtheforces.a.shearingstressb.bearingstressc.tensilestressd.bendingstresse.noneoftheabove
6.WhatisthefutureworthofanequalquarterlypaymentseriesofP2,500for10yearsiftheinterestrateis9%compoundedmonthly?a.F=P158,653b.F=P154,718c.F=P151,930d.F=P160,058e.noneoftheabove
7.Akiteataheightof60ftismovinghorizontallyatarateof5ft/saway
from a boywho flies it.How fast is the cord being
releasedwhen100ftareout?a.6ft/sb.8ft/sc.2ft/sd.4ft/se.noneoftheabove
8.Findthetotalwaterpressureonaverticalcirculargate2.0mindiameter,withitstop3.5metersbelowthewatersurface.a.169.5kNb.107.9kN
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c.138.7kNd.186.5kNe.noneoftheabove
9.Findtheareaofacirclewhoseequationis:x^2+y^2+4x+6y23=0.a.36pib.30pic.40pid.45pie.noneoftheabove
10.Acardriesoffahorizontalembankmentandland11mfromtheedge of the
embankment in a field that is 3 m lower than
theembankment.Withwhatspeedwasthecartravelingwhenitlefttheembankment?a.15m/sb.14.1m/sc.14.1m/sd.13.99m/se.noneoftheabove
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Practice Exams ChE 22
1.Findtheequationofthelinepassingthrough(1,2)and(3,5).a.2x5y12=0b.x+y=7c.3x11=2yd.3x4y+11=0e.3x4y11=0
2. The square of the sum of two positive numbers is 45 and
theirproductis6.thesumoftheirsquaresis?a.44b.33c.22d.55e.noneoftheabove
3.Youhavebeenofferedacreditcardbyanoilcompanythatchargesinterestat1.8%/monthcompoundedmonthly.Whatistheeffectiveannualinterestratethatthisoilcompanycharges?a.21.6%b.23.87%c.22.34%d.18%e.noneoftheabove
4. A machine purchased for P45,000 had a depreciable life for
4years.ItwillhavenexpectedsalvagevalueofP5,000attheendofthedepreciablelife.Usingthestraightlinemethod,whatisthebookvalueattheendyear2?
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a.27,500b.35,000c.20,000d.25,000e.noneoftheabove
5.A100ohmresistor,a0.0001Fcapacitoranda0.1Hinductorareconnected
in series to a 120V rms generator. If the
generatorfrequencyis60Hz,findtheimpedanceandeffectivecurrent.a.101ohm,1.19Ab.105ohm,1.5Ac.111ohm,1.8Ad.116ohm,2.15Ae.noneoftheabove
6.Themajorandminoraxisofanellipsemeasures10and8unitsrespectively.Thedistancebetweenthefociisa.3b.6c.5d.7e.noneoftheabove
7.When0.0019448iscorrectedto3significantfigures,itbecomesa.0.00190b.0.002c.0.00194d.0.00195e.noneoftheabove
8. Howmany sides has a polygon if the sum of interior angles
is2520??a.12b.15c.16d.14e.noneoftheabove
9.Itisastressthatactstangenttothesurfaceofthecylinder.a.longitudinalstressb.bearingstressc.tangentialstressd.shearingstresse.noneoftheabove
10.Mixturesofoxygenandheliumcanbetoleratedbydivers.Whatproportion
should oxygen be if the diver works 5.0 m below
thesurfaceandthepartialpressureofoxygenshouldbe0.30atm?a.5.12%b.4.88%c.6.00%d.5.86%e.noneoftheabove
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Practice Exams ChE 21
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1. A body whose temperature is 180 degF is immersed in a
liquidwhichiskeptataconstanttemperatureof60degF.Inoneminute,thetemperatureoftheimmersedbodyis120degF.Thetimeitwilltakethebodystemperaturetodecreaseto90degFisa.2minb.3minc.1.5mind.2hrse.noneoftheabove
2.Aline2x+ky11=0isperpendicularto5x3y+4=0.Thevalueofkisa.4/3b.3/5c.5/12d.10/3e.noneoftheabove
3.Thearea in thesecondquadrantof thecirclex^2+y^2=36
isrevolvedabouttheliney+10=0.Whatisthevolumegenerated?a.2208.53b.2218.33c.2228.83d.2233.43
4.Itmeasurestheresistancetotwistingthemember.a.forceb.shearc.torqued.stresse.noneoftheabove
5.Findtheareaofthetrianglewhoseverticeslieatthepoints(4,1),(6,2)and(2,5).a.4b.6c.5d.7e.noneoftheabove
6.A seriesof equal semiannualpaymentsofP1000 for3 years
isequivalent to what present amount at an interest rate of
12%compounded annually? (All answers are rounded to the
nearestpeso).a.4944b.4500c.4804d.5401e.noneoftheabove
7.Inapileoflogs,eachlayercontains1morelogthanthelayeraboveandthetoplayercontains1log.Ifthereare171logs,howmanylayersarethere?a.20b.16c.18d.14
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e.noneoftheabove
8.Thedriver of a car traveling at 24m/s sees a cowon the
road.Calculate the stoppingdistance if the drivers reaction
timebeforeapplying thebrakes is0.75 sec and the cars deceleration
after
thebrakesareappliedis3.6m^2/s.a.89.0mb.85.5mc.93.0md.98.0me.noneoftheabove
9.Agardenhosewithacrosssectionalareaof2sqcmhasflowof200cm^3/s.WhatItheaveragevelocityofwater?a.1.5m/sb.2.5m/sc.2.0m/sd.1.0m/se.noneoftheabove
10. A series of equal quarterly deposits of P1000 extends over
aperiodof3years.Whatisthefutureworthofthisquarterlydepositseriesat%interestcompoundedmonthly?a.13,160b.13,615c.12,590d.13,112e.noneoftheabove
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Practice Exams ChE 20
1. A water tank is 8m in diameter and 12m high. If the tank
iscompletely filled, determine the minimum thickness of the
tankplatingifthestressislimitedto40MPa.a.12.5mmb.13.7mmc.11.8mmd.14.1mme.noneoftheabove
2.Whichofthefollowingisnotaunitofwork?a.Joulesb.KWatthrc.Ergd.Sluge.noneoftheabove
3.AdebtofP5000with12%interestcompoundedsemiannuallyistobeamortizedbyequalsemiannualpaymentsoverthenext3yrsthefirstdueis6months.Whatwillbethesemiannualpayment?a.1006.82b.1061.81
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c.1016.82d.1826.82e.noneoftheabove
4.Howmanydiagonalsdoesatensidedconvexpolygonhave?a.45b.40c.35d.30e.noneoftheabove
5. It is defined as the summation ofmoments taken about an
axispassing through the centroid of the crosssection of all loads
andreactions applied to the portion of the beamon either side of
thecrosssection.a.bendingmomentb.shearc.deformationd.elongatione.noneoftheabove
6. The cost C of a product is a function of the quantity x of
theproduct:C(x)=x^24000x+50.Findthequantityforwhichthecostisminimum.a.3000b.1000c.2000d.1500
7. You obtained a loan of P20000 to finance the purchase of
anautomobile.Basedonmonthlycompoundingfor24months,theendofthe month
equal payment was figured out to be
P922.90.Immediatelyaftermakingthe12thpayment,youdecideyouwanttopayoff
the loanin lumpsum.Thesizeofthis lumpsumamount
isnearesttowhichofthefollowing:a.10,498b.12,044c.11,075d.12,546e.noneoftheabove
8.Thelengthofthesidesofatriangleare12,15,18.Acircletangenttothelongestandshortestsidehasitscenterontheremainingside.Findthedistancefromthecenterofthecircletothemidpointofthesidewherethecenterofthecirclelies.a.2.3b.1.5c.3.4d.4.6e.noneoftheabove
9.Itisthehighestordinateonthestressstraincurve.a.Ultimatestrengthb.Yieldstrengthc.Rupturepointd.Proportionallimite.noneoftheabove
10.IfyouinvestP2000todayinasavingaccountataninterestrateof 12%
compounded annually, how much principal and interest
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wouldyouaccumulatein&years?a.4242b.2300c.4422d.1400e.noneoftheabove
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Practice Exams ChE 19
1. In a group of 40 executives 27 prefer to drink SanMiguel
beerwhile25BeernaBeer.Howmanyprefertodrinkboth?a.10b.11c.12d.13e.noneoftheabove
2. In howmany ways can a committee of three consisting of
twoChemical Engineers and one Mechanical Engineer can be
formedfromfourChemicalEngineersand3MechanicalEngineers?a.18b.32c.64d.noneoftheabove
3.Heisthescientistthatintroducedaconstantofproportionalityin1807commonlyknownasmodulusofelasticity.a.ThomasJeffersonb.ThomasYoungc.AlbertEinsteind.FerdinandSingere.noneoftheabove
4.Whichofthefollowingstatementsisincorrect?a. If two investors
are considering the same project, the
paybackperiodwillbelongerfortheinvestorwiththehigherMARR.b. If you
were to consider the cost of funds in payback periodcalculation,
you would have to wait longer as you increase
theinterestrate.c.Consideringthecostoffundsinapaybackcalculationisequivalenttofindingthetimeperiodwhentheprojectbalancebecomeszero.d.Thesimplicityof
thepaybackperiodmethods isoneof itsmostappealing qualities even
though it fails to measure
projectprofitability.e.noneoftheabove
5.Ifthemomentofinertiaofacircleis500m^4,itsareisnearestto:a.74sqmb.80sqmc.76sqmd.78sqme.98sqm
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6.Howmanysignalseachconsistingof6flagshanginaverticallinecanbeformedfrom4identicalredflagsand2identicalblueflags?a.5b.10c.15d.20e.noneoftheabove
7.Whatpart of90%alcoholmustbe removedand replacedby
anequalamountofpurealcoholtomakea95%alcoholsolution?a.5%orlessb.5%c.between5%and10%d.50%e.noneoftheabove
8.Water is pouring into a conical vessel 15 cm deep and having
aradiusof3.75cmacrossthetop.Iftherateatwhichthewaterrisesis2cm/s,howfastisthewaterflowingintotheconicalvesselwhenthewateris4cmdeep?a.4.57cu.m/sb.6.28cu.m/sc.2.37cu.m/sd.5.73cu.m/s
9.Ahotairballoonrisingstraightupfromalevelfieldistrackedbyarangefinder5000ft
fromthepointof liftoff.At themoment,
therangefinderselevationangleis45?.Theangleisincreasingatarateof0.14rad/min.Howfastistheballoonrising?a.120ft/minb.160ft/minc.130ft/mind.140ft/mine.noneoftheabove
10. It is the surface generated by moving a straight line
(calledgenerator)whichisalwaysparallel toa
fixedlineandwhichalwaysintersectatafixedplanecurveis:a.cylindricalsurfaceb.paraboloidc.locusofapointd.sphericalsurface
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